Solve ax + x(b^x) + c = 0

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Ömer Yaman 2021-1-25

回答： Steven Lord 2021-1-25

Hello all,

I have troubles while solving equation which is given below symbolically. Could anyone guide me? Thanks in advance.

a*x + x*(b^x) + c = 0

Best regards,

David Goodmanson 2021-1-25

Hi Omer,

It seems highly unlikely that there is an explicit symbolic solution for x. Already the solution to a simpler problem, that of solving

x*exp(x) = z

for x, can only be expressed in terms of the lambertw function, x = lambertw(z). A numerical lambertw function is part of Matlab.

Ömer Yaman 2021-1-25

Thank you for editing!

Thank you, So I guess, I need to instert lambertw function to solve this equation

Steven Lord 2021-1-25

I'm doubtful that you'll be able to find a general symbolic solution. Substitute numeric values in for a, b, and c and use fzero.

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